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# In the xy-plane, point (r, s) lies on a circle with center

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VP
Joined: 26 Apr 2004
Posts: 1209

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Location: Taiwan
In the xy-plane, point (r, s) lies on a circle with center [#permalink]

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16 Aug 2004, 21:29
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In the xy-plane, point (r, s) lies on a circle with center at the origin. What is the value of r2 + s2 ?

(1) The circle has radius 2.
(2) The point (v2, -v2) lies on the circle.

Kudos [?]: 792 [0], given: 0

Senior Manager
Joined: 25 Jul 2004
Posts: 273

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16 Aug 2004, 22:29
is this r^2 + s^2?

If so I would Say A.

If not I would Say E.

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VP
Joined: 26 Apr 2004
Posts: 1209

Kudos [?]: 792 [0], given: 0

Location: Taiwan

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17 Aug 2004, 08:13
Yes, indeed , r^2 + s^2,

thank you

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CEO
Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 903 [0], given: 781

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17 Aug 2004, 23:15
can anyone explain this to the author please?

thanks

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GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5039

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Location: Singapore

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18 Aug 2004, 00:54
If (r,s) lies on the circle, then if we are told the radius, we can find out r^2 + s^2 using pythagoras theorem

(1) If radius is 2, then r^2+s^2 = 4. So (1) is sufficient

(2) is not sufficient, as we do not have a radius to equate and no other information pertaining to v2 and -v2 is given

Kudos [?]: 424 [0], given: 0

18 Aug 2004, 00:54
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